{"title":"A Lyapunov machine for stability analysis of nonlinear systems","authors":"D. V. Prokhorov","doi":"10.1109/ICNN.1994.374324","DOIUrl":null,"url":null,"abstract":"Dynamic analysis of nonlinear system requires tool for study of arbitrary sets of positive semi-trajectories for the system rather than only single semi-trajectories. Such a study is difficult because of very high computational complexity. This paper proposes a Lyapunov machine as a possible tool for stability analysis of nonlinear autonomous systems. The Lyapunov machine is able to test global asymptotic stability, to isolate local asymptotic stability domains and to approximate a Lyapunov function for the system.<<ETX>>","PeriodicalId":209128,"journal":{"name":"Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNN.1994.374324","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18
Abstract
Dynamic analysis of nonlinear system requires tool for study of arbitrary sets of positive semi-trajectories for the system rather than only single semi-trajectories. Such a study is difficult because of very high computational complexity. This paper proposes a Lyapunov machine as a possible tool for stability analysis of nonlinear autonomous systems. The Lyapunov machine is able to test global asymptotic stability, to isolate local asymptotic stability domains and to approximate a Lyapunov function for the system.<>
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